Self-testing of a single quantum system from theory to experiment

Autor: Xiao-Min Hu, Yi Xie, Atul Singh Arora, Ming-Zhong Ai, Kishor Bharti, Jie Zhang, Wei Wu, Ping-Xing Chen, Jin-Ming Cui, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Jérémie Roland, Adán Cabello, Leong-Chuan Kwek
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: npj Quantum Information, Vol 9, Iss 1, Pp 1-11 (2023)
Druh dokumentu: article
ISSN: 2056-6387
DOI: 10.1038/s41534-023-00769-7
Popis: Abstract Self-testing allows one to characterise quantum systems under minimal assumptions. However, existing schemes rely on quantum nonlocality and cannot be applied to systems that are not entangled. Here, we introduce a robust method that achieves self-testing of individual systems by taking advantage of contextuality. The scheme is based on the simplest contextuality witness for the simplest contextual quantum system—the Klyachko-Can-Binicioğlu-Shumovsky inequality for the qutrit. We establish a lower bound on the fidelity of the state and the measurements as a function of the value of the witness under a pragmatic assumption on the measurements. We apply the method in an experiment on a single trapped 40Ca+ using randomly chosen measurements and perfect detection efficiency. Using the observed statistics, we obtain an experimental demonstration of self-testing of a single quantum system.
Databáze: Directory of Open Access Journals